It is possible. I have had periods of time where I was in recovery for years at a time. I am currently back in the full throttles of my ED, however. But I think back to those times when I was free from it...and I remind myself that I can get there again.
You comment about "Wanting to obsess and eat" makes me think of something my T asked me once. She asked, "Do you like your eating disorder?" and I was surprised by that question, but even more surprised by my answer. Yes. It's the only thing I can control. It's always there for me when I need it. It sounds as though you feel similarly.
Perhaps we need to take a step back and examine the things that we do not like about our eating disorder...the ways in which it holds us back, the damage it does to our bodies, etc. Until we can stop liking it and start hating it, we cannot free ourselves from it.